g-Factor and static quadrupole moment of $$^{135}$$Pr, $$^{105}$$Pd, and $$^{187}$$Au in wobbling motion

The g -factor and static quadrupole moment of the nuclides Pr, Pd, and Au in the wobbling motion are investigated in the particle-rotor model as functions of the total spin I . The g -factor of increases with increasing I , due to the negative gyromagnetic factor of a valence-neutron. This behavior is in contrast to the decreasing g -factor of the other two nuclides, Pr and Au, which feature a valence-proton. The static quadrupole moment Q depends on all three expectation values of the total angular momentum. It is smaller in the yrast band than in the wobbling band for the transverse wobblers Pr and Pd, while larger for the longitudinal wobbler Au.